(Annexe n° 2) Un exemple concernant la super-réflexivité
In this paper, we consider a generalized triangle inequality of the following type: where (X, ‖·‖) is a normed space, (µ1, ..., µn) ∈ ℝn and p > 0. By using ψ-direct sums of Banach spaces, we present another approach to characterizations of the above inequality which is given by [Dadipour F., Moslehian M.S., Rassias J.M., Takahasi S.-E., Nonlinear Anal., 2012, 75(2), 735–741].
We show that a Banach space constructed by Bourgain-Delbaen in 1980 answers a question put by Feder in 1982 about spaces of compact operators.
If is a Banach space then the Banach space of all -valued convergent sequences contains a nonvoid bounded closed convex body such that no point in has a nearest point in .